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Katena32 [7]
2 years ago
8

The ice cream cone has a radius of 3 cm and a height of 10 cm. If the scoop of ice cream is a sphere with radius of 3.5 cm, will

all of the ice cream fit inside the cone?
Mathematics
1 answer:
Tju [1.3M]2 years ago
4 0

Answer:

No, ice cream cannot fits inside the cone.

Step-by-step explanation:

radius of cone, r = 3 cm

height of cone, h = 10 cm

radius of ice cream sphere, R = 33.5 cm

The volume of the cone is

V =\frac {1}{3}\times \pi\times r^{2}\times h\\\\V = \frac{1}{3}\times 3.14\times 3\times 3\times 10\\\\V =94.2cc

Volume of ice cream

V' =\frac{4}{3}\pi\times r^{3}\\\\V'= \frac{4}{3}\times 3.14\times 3.5^{3}\\\\V' = 179.5cc

As the volume of ice cream is more than the volume of cone, so it cannot fit into the cone.

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